The probability of success on any trail of a binomial experiment is 25%. Find the probability that the proportion of successes in a sample of 1000 is between 22% and 28%.
2 In a medical study, patients are classified in 8
ways according to whether they have blood type AB+,
AB−, A+, A−, B+, B−, O+, or O−, and also according to whether their blood pressure is low, normal, or
high. Find the number of ways in which a patient can
be classified.
A population consists of values (2, 3, 5). Consider all possible samples of size n=2 that can be drawn with
replacement from this population.
a. Find the mean of the population
b. Find the standard deviation of the population.
c. Find the mean of the sampling distribution of means.
d. Find the standard deviation of the sample distribution of means.
e. Construct the probability histogram of 𝑥̅ with replacement.
A study was done to study the effect of ambient temperature x on the electric power consumed by a chemical plant y. Other factors were held constant, and the data were collected from an experimental pilot plant
y(BTU). x(°F). y(BTU). x(°F)
250. 27. 265. 31
285. 45. 298. 60
320. 72. 267. 34
295. 58. 321. 74
Find the Pearson r Correlation Coefficient: r = Blank 1
Find the equation of the regression line: y = Blank 2x + Blank 3
Predict power consumption for an ambient temperature of 65 °F: Blank 4BTU
Test the significance of the correlation coefficient calculated in the question above at α = 0.05. Use the steps in conducting hypothesis tests
How many two-digit numbers can be formed from the digits 1, 2, 3 and 4 if
a. no digit is repeated in any number?
b . repetitions are allowed?
How many two-digit numbers can be formed from the digits 1, 2, 3 and 4 if
a. no digit is repeated in any number?
b . repetitions are allowed?
A study of the amount of rainfall and the quantity of air pollution removed produced the following data
Daily Rainfall, Particulate Removed,
(0.01 cm) x y (µg/m3)
4.3. 126
4.5. 121
5.9. 116
5.6. 118
6.1. 114
5.2. 118
3.8. 132
2.1. 141
7.5. 108
Find the Pearson r Correlation Coefficient: r = Blank 1
Find the equation of the regression line: y = Blank 2x + Blank 3
Estimate the amount of particulate removed when the daily rainfall is x = 4.8 units: Blank 4 μg/m3
Test the significance of the correlation coefficient calculated in the question above at α = 0.05. Use the steps in conducting hypothesis tests
The following data were collected to determine the relationship between pressure and the corresponding scale reading for the purpose of calibration
Pressure, x (lb/sq in.)
Scale Reading, y
10 13
10 18
10 16
10. 15
10. 20
50. 86
50. 90
50. 88
50. 88
50. 92
Test the significance of the correlation coefficient calculated in the given question above at α = 0.05. Use the steps in conducting hypothesis tests
Using the number 5, 10, 15, 20, 25, and 30 as the element of the population, construct the sampling distribution of the sample means with a sample size of 2. Find the population and sample mean, population and sample variance, and population and sample standard deviation.
According to NSC statistics,the life expectancy of Filipino women is 70.1 years. Suppose a random sample of 30 women in town B yields a mean of 72.5 years with a population variance of 4.76 years, would you say that the life expextancy of the women in town B is greater than the average?Formulate the null and alternative hypothesis and in symbol.